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arXiv · 2403.17429

Propagation of initial uncertainties to Arthurs-Kelly inequality

Mi-Ra Hwang·Eylee Jung·DaeKil Park
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Abstract

The generalized version of the Arthurs-Kelly inequality is derived when the initial state is a tripartite separable state. When each initial substate obeys the minimal uncertainty, the generalized version reduces to the well-known inequality, i.e. twice of the Heisenberg uncertainty. If the initial probe state is entangled, it is shown that the generalized version of the Arthurs-Kelly inequality can be violated. We show the violation explicitly by introducing a special example.

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Mi-Ra Hwang, Eylee Jung, DaeKil Park. 2024-03-26. Propagation of initial uncertainties to Arthurs-Kelly inequality. https://arxiv.org/abs/2403.17429

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